On the lower semicontinuity of the solution mappings to a parametric generalized strong vector equilibrium problem |
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Authors: | Y D Xu S J Li |
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Institution: | 1. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China 2. Mathematical Sciences Research Institute in Chongqing, Chongqing, 401331, China
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Abstract: | In this paper, under new assumptions, which do not contain any information about the solution set, the lower semicontinuity of solution mappings to a parametric generalized strong vector equilibrium problem are established by using a scalarization method. These results extend and generalize the corresponding ones in Gong and Yao (J Optim Theory Appl 138:197–205, 2008), Chen and Li (Pac J Optim 6:141–151, 2010) and Li et al. (2012, submitted). Some examples are given to illustrate our results. |
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